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Finding the Fourth Proportional to 550.72, 759.97 and 302.05

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Solution

The fourth proportional to 550.72, 759.97 and 302.05 is: 416.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.72 : 759.97 = 302.05 : x
  2. Step 2: Convert to fraction form
    550.72/759.97 = 302.05/x
  3. Step 3: Cross multiply
    550.72x = 759.97 × 302.05
  4. Step 4: Simplify right side
    550.72x = 229,549.13
  5. Step 5: Solve for x
    x = 229,549.13/550.72
  6. Step 6: Final answer
    x = 416.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.